As the physical consequences of accidental falls in the elderly are well-researched, the longterm associations between falls and quality of life and related concepts are less known. The aim of this study was to prospectively examine the long-term relations between falls and health-related quality of life (HRQoL) and life satisfaction (LS) over six years in the general elderly population. One th...

In the “Game about Squares” the task is to push unit squares on an integer lattice onto corresponding dots. A square can only be moved into one given direction. When a square is pushed onto a lattice point with an arrow the direction of the square adopts the direction of the arrow. Moreover, squares can push other squares. In this paper we study the decision problem, whether all squares can be ...

Quantum game theory, the subclass of game theory that involves quantum phenomena, lies at the crossroads of physics, quantum information processing, computer and natural sciences. Thanks to entanglement, quantum players can sometimes accomplish tasks that are impossible for their classical counterparts. In this paper we present the detailed analysis of one of the pseudo-telepathy games. These g...

We show that a cooperative game may be decomposed into a sum of component games, one for each player, using the combinatorial Hodge decomposition on a graph. This decomposition is shown to satisfy certain efficiency, null-player, symmetry, and linearity properties. Consequently, we obtain a new characterization of the classical Shapley value as the value of the grand coalition in each player’s ...

game theory is an approach based on mathematics to study social interactions and modeling strategic situations. this theory focuses on decision situations where preferences of decision makers are disputed. existence of strategic position in city also with a conflict of interest or competition makes using game theory to describe the urban management issues, attractive. one of the important contr...